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zloy xaker [14]
3 years ago
6

The length of a rectangle is twice as long as the width. The area is 200ft to the power of 2. Find the length and the width of t

he rectangle.
Mathematics
1 answer:
zimovet [89]3 years ago
6 0

Answer:

Length = 20feet

Width = 10feet

Step-by-step explanation:

Area of a rectangle = LW

Perimeter P= 2(L+W)

L is the length

W is the width

If the length of a rectangle is twice as long as the width, then;

L = 2W

Substitute into the foemula

A  = (2W)W

A=  2W²  

If the area is 200ft², then;

200 = 2W²

100 = W²

W = √100

W = 10ft

Since L = 2W

L = 2(10)

L = 20ft

Hence the length of the rectangle is 20feet and the Width is 10feet

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